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Lectures De Potentia Restitutiva, Or Of Spring, fol. 18

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.88.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. C+d
  2. derrees ot impulse, that is, Are in the Arst SpaCC re
  3. turned, chree inthe second, and one in the third.
  4. Sobene ten spaces it receires in its Whole return
  5. onc hundred deprees ot impulle, to wit, ninetcen in
  6. thefrst, seventeen in thelocond, Eeccen in chechird,
  7. thirteen in the Fourth, eleren in thettch, nine in the
  8. sixth, seven in the serenth, sre in the cistth, three
  9. in cheminth, and one in the centh.
  10. Nom che comparatire Velocities ot any bodymo-
  11. red are in subduplicate proportion to he aggregates
  12. Or Cums oF the porversby whichitismored, cherctore
  13. che Velocities of the hole spacesreturned are alvars
  14. in che lame proportions rith chole spaces, they beins
  15. boch subduplicate to the porers, and consequently
  16. aIl che times MaII DC equal.
  17. Next For the Velocities oF tho parts oF che space
  18. recurned cher will be alrazs proportionate to che
  19. roots oF the spgregates of the porvers impressed
  20. in erery oe thele lpaces; for in che lale intance,
  21. irhere the Spring is supposed bent ten (PaCCS,
  22. the Velocier ac the end ot the Arsc Space returned
  23. ThallbC aS the roDt oF 19. at thc end ot the lecond
  24. astheRootOt 36. thatis, oF 19 F 17. at thc end ot
  25. thC third as the ROOE OF SF. that i5 OF 19 f 17
  26. F. 15. AF thc end oF the Fourth as thC ROOE
  27. OF 64. ThatisOE 19, f 17 7 15 F 13. ac the end oF
  28. the centh, or Wrhole as the Root ot 100. that i5 a5
  29. N 19 + 17 F 15 Y 13 f TC f 9. f 7 + 5. +3
  30. FP, Cqual 10 100.
  31. No Cincethe Velocity is in the Pame provortion
  32. totheroot of thespace, asthe root oF chespace is to
  33. thetime, it is calie to determine the particular time
  34. in irhich ereey onc of chele spaces are passed For
  35. diridins che spaces by che Velocities correspondins
  36. thequotients girethe parriculartimes.
  37. Foexplain chismore intelligibly, let A in the fourth
  38. fixure reprelent he end ota Spcins nOt benE, orAt LeaAE
  39. COHM.

Cite

Lectures De Potentia Restitutiva, Or Of Spring, fol. 18. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/859264114:0024?run=74